Spatial random utility model with an application to recreation demand

The paper examines the relevance of unobserved spatial dependence between individual decision-makers in the analysis of discrete choices. To incorporate spatial interdependencies in the behavioral analysis, we propose a spatial random utility model of recreation demand. The model combines the set-theoretic concept of spatial neighborhood, endogeneity of spatial interdependencies, and unobservable individual preferences. Our estimation procedure uses an efficient pseudo maximum likelihood estimator. We apply the model to the study of recreational travel demand in Iowa and evaluate the significance of unobserved spatial interdependencies between individual households in recreational travel choices.     

长沙市居民城市森林游憩需求特征研究

通过对长沙市居民城市森林公园游憩需求特征调查分析,发现长沙市居民的森林游憩需求旺盛,在时下众多旅游休闲活动中,城区森林游憩活动成为首选。城市居民希望远离繁忙、喧嚣的日常工作生活环境,亲近自然,享受森林之美,从而最大限度地满足人们在放松精神、愉悦心情、修养身心、陶冶情操等生理、心理、保健和精神方面的需求。城市居民希望在保护环境的前提下进行城市森林游憩的适度开发,为游憩者提供更好的游憩活动和服务设施。这一研究将为合理规划和建设城市森林公园、改进和完善森林游憩服务提供理论依据。     

Modeling Multiple-Objective Recreation Trips with Choices Over Trip Duration and Alternative Sites

Traditionally, recreation demand studies have focused on single-day, single-activity trips, despite anecdotal and empirical evidence that many recreational trips involve overnight stays and multiple purposes. This paper develops a random utility model that explores how visitors choose alternative sites and trip durations for multiple-objective trips. We focus on a recreational activity, beach visits, that appear to have significant proportions of the population taking single and multiple-day trips, and many of the multiple day trips involve multiple objectives. Multiple-duration and multiple-objective issues are incorporated in pricing trip costs. The results of the research suggest that the accepted method for incorporating travel costs into random utility models can lead to biased estimates of the structural utility parameters and, consequently, biased measures of welfare in a multiple-objective trip setting for single- and multiple-day users.     

Using Choice Experiments to Investigate the Policy Relevance of Heterogeneity in Farmer Agri-Environmental Contract Preferences

Agri-environmental contracts are used to provide incentives for nature management on private land in, e.g. the European Union. The aim of this article is to investigate preference heterogeneity for agri-environmental contracts among farmers in order to discuss potential policy improvements utilising heterogeneity. We used a choice experiment to elicit farmers’ stated preferences for afforestation contracts. Four attributes are investigated: purpose of afforestation, option of cancelling the contract, monitoring, and compensation level. All attributes present a potential conflict between farmers’ and authorities’ interests, which emphasises the importance of knowing how to handle these interests. A random parameter logit model shows that having the option to cancel the contract decreases farmers’ required compensation level and monitoring increases it. Furthermore, farmers are willing to accept a lower compensation when the aim is to protect biodiversity and ground water relative to recreation. Latent class models with class probability variables reveal discrete heterogeneity and support a division into four groups with divergent preferences. For example, a group of farmers who already have forest areas does not find the option of cancelling the contract important, whereas another group relying on the farm for income requires higher compensation. The findings indicate potential for efficiency gains from targeting the contracts.     

Using spatial microsimulation to account for demographic and spatial factors in environmental benefit transfer

This paper presents a simulation-based modelling approach for estimating total visitor numbers and amenity values for prospective non-priced open-access outdoor recreation sites. To begin, the geographic extent of the market for recreation at a policy site is estimated using data from a similar study site. The population residing within this geographic area is simulated using a spatial microsimulation model and GIS techniques and an individual-level ‘visitor arrival function’ is then transferred across this simulated population. This allows the latent demand for visits to the policy site by each simulated individual to be predicted and summed, providing an estimate of the total potential demand for recreation at the site. Combining this with an economic value measure of a visit provides an estimate of the potential amenity value of the policy site. The approach is applied to Moyode Wood, a small-scale forest in the West of Ireland, and estimates the potential total economic value of recreation at €0.4 million for the site. The research represents the first time that spatial microsimulation has been used in environmental benefit transfer and shows how it can be used to control for differences in demographic and spatial factors between study and policy sites. It also demonstrates how individual-level single-site travel cost models estimated using on-site survey data can be used to predict demand at alternative policy sites.     

An econometric model of tenure choice and demand for housing as a joint decision

This paper models a household's choice of tenure and demand for housing services as a joint decision imposing the restriction that both discrete and continuous decisions are derived from a single preference ordering. The utility index for households is the translog form of the reciprocal indirect utility function allowing for random preferences. Each household chooses between the two main tenures, the owner-occupied and subsidised rental sectors, but households may be rationed in either or both of these sectors and refused admission, in which case they are assumed to enter the third sector, uncontrolled rental. The model is estimated on UK data for 5895 households.     

An evening at the theatre: using choice experiments to model preferences for theatres and theatrical productions

This article examines people's preferences and demand for live theatre. It investigates the preferences for people attending a regional theatre, Northern Stage in Newcastle, in relation to other live theatres they could attend, and in relation to the attributes of theatrical productions and ticket price. It uses a Stated Preference (SP), discrete choice experiment, to assess people's utility and Willingness To Pay (WTP) for the different attributes of theatrical productions. The model assesses the effect of the attributes of plays on choice; and the impact of Socio-Economic (SE) and demographic variables on choice and demand. Results reveal the heterogeneity of theatregoers’ tastes for different types of plays and ticket prices. The models reveal the significance of ‘reviews’ and ‘Word Of Mouth’ (WOM) opinions on plays, as the most important variables determining choice.     

Valuing cultural world heritage sites: an application of the travel cost method to Mont-Saint-Michel

This article, using the zonal version of the travel cost method (ZTCM), provides the first economic valuation of recreational trips to Mont-Saint-Michel (MSM). The MSM was designated as United Nations Educational, Scientific and Cultural Organization World Heritage Site in 1979, and is the most visited coastal site in France. The potential effects on consumer surplus (CS) estimates of some aspects of the ZTCM are considered, namely the treatment of the multiple purpose/destination (MP/D) trips, the inclusion of the opportunity cost of time (OCT) in the recreation demand model and the heterogeneity in the preferences. The heterogeneity in the preferences is examined through a random parameters Poisson model (RPPM). The RPPM generalizes the standard Poisson model (SPM) by allowing coefficients of explanatory variables to vary randomly across geographical units rather than being fixed. Our results show that (1) substantial CS values are associated with the MSM; (2) excluding/ignoring MP/D trips result in biased CS estimates; (3) omitting OCT does not substantially bias CS estimates; (4) the RPPM provides richer information about the impact of explanatory variables on the demand for trips than the SPM, but (5) leads to statistically similar CS estimates than the SPM.     

Estimating Recreation Preferences Using Hedonic Travel Cost and Random Utility Models

Over the last decade, several authors have questioned thevalidity of the hedonic travel cost model, arguing instead that the random utility model is a superior method forvaluing recreational site attributes. This paper demonstrates that the two methods emanate from a similar utilitytheoretic framework; yet in practice these methods differ in the assumptions made in their application.Constraining the underlying utility functions to be consistent, both models are applied to the valuation ofrecreational site attributes in the Southeastern United States. The way in which each method estimates preferencesfor site attributes is shown to depend critically on the method and the functional form of theunderlying utility function.     

Recreation demand estimation and valuation in spatially connected systems

Recreation demand models frequently are used to explain outdoor recreation behavior and to estimate willingness to pay for changes in environmental quality at recreation sites. Among the most commonly used recreation demand models are site choice models based on the multinomial logit framework, which account for the spatial relationships between each recreator's home and multiple alternative destinations thereby capturing the substitution possibilities among recreation sites. However, standard applications of this framework typically do not account for the possibility of spatial connections among the sites via movements of the target species, such as fish in connected water bodies in recreational angling applications or terrestrial species in hunting or wildlife viewing applications. In this paper we examine aspects of environmental valuation and natural resource dynamics that generally are addressed separately. Specifically, we show that in such spatially connected systems, a “reduced form” application of the standard site choice modeling approach, using proxy measures of environmental quality rather than direct measures of species abundances, can produce biased estimates of willingness to pay for environmental improvements. Furthermore, we show that under some conditions poorly targeted environmental improvements in spatially connected systems can lead to welfare decreases. In such systems a structural model of recreator site choices and species sorting behavior and population dynamics may be required to fully account for the spatial linkages among sites and the feedback effects between recreators and the target species.     

Demand for Environmental Quality: An Empirical Analysis of Consumer Behavior in Sweden

In this paper we estimate the income elasticity of demand for recreational services and other traditional groups of goods in Sweden and test for potential changes in such estimates over the twentieth century. Due to the difficulty of directly observing the demand for recreational services, we employ an indirect methodology by using the demand for some outdoor goods as a proxy for the demand for recreational services. In line with most prior research, our results confirm the expectation that recreational services, as a public good, is a luxury good in Sweden. Our results also show that the income elasticities for traditional goods are stable over time, indicating that consumer preferences for expenditure on these specific commodities do not change over time.      

Valuing Local Environmental Amenity with Discrete Choice Experiments: Spatial Scope Sensitivity and Heterogeneous Marginal Utility of Income

Using discrete choice experiments we examine preferences for the spatial provision of local environmental improvements in the context of regeneration policies. Amenities we consider are: improvements to areas of open space, recreation facilities and other public spaces; street cleanliness; restoration of derelict properties; and the provision of paths dedicated to cycling and walking. We include the spatial scope of the policy as an attribute, making the trade-off between environmental amenity and its spatial provision explicit. We employ a novel estimator for average willingness to pay (WTP) for mixed logit models with a random cost coefficient, which is robust to the presence of price insensitive respondents and performs well relative to mixed logit estimation in WTP space. We find that the spatial scope of the policy affects both the intensity and heterogeneity of preferences, and that these effects are of statistical and economic significance.     

Utility theoretic semi-logarithmic incomplete demand systems in a natural experiment: Forest fire impacts on recreational values and use

This study develops a utility theoretic demand model for an arbitrary number of goods that handles correlation between goods and over time. The bivariate compound Poisson estimator is applied to a semi-logarithmic incomplete demand system to estimate the demand for wilderness recreation and the associated welfare measures both prior to and post a 40,000 acre wilderness fire in Washington. Forest fires can simultaneously affect the environmental qualities of many recreational sites; this highlights the need for a utility theoretic demand system approach for modeling consumer behavior that handles the dynamic behavioral and statistical interdependencies over goods and time. Results suggest an increase in consumer welfare per trip post fire, after an initial period of low values, relative to before the fire.     

Model Uncertainty in Characterizing Recreation Demand

A Bayesian variable selection procedure is used to control for uncertainty in the specification of a recreational demand model. Specifically, we propose a model that draws on the Bayesian paradigm to integrate the variable selection process into model estimation and to reflect the accompanying uncertainty about which is the best specification in subsequent counterfactual predictions. The advantage of this procedure over previous non-Bayesian approaches is that it overcomes the problem of pre-testing in specification searches. In our application, evaluating demand for recreational lake usage in Iowa, we find clear evidence that site attributes, such as lakes size, handicap facilities and wake restrictions, do impact lake usage. There is also evidence that water quality matters in household recreation choices. Indeed, contrary to Abidoye et?al. (Am J Agricult Econ, 2012), in which only a single functional form is considered, we find clear evidence that water quality matters, with posterior probability of less that 10 % associated with a model without any water quality variables. This suggests that the flexibility that the Bayesian variable selection model affords in capturing the linkage between recreation demand and site characteristics can be important.     

Modelling the Effect of Chronic Wasting Disease on Recreational Hunting Site Choice Preferences and Choice Set Formation over Time

Chronic wasting disease (CWD) is a prion disease that affects deer, elk and other cervid wildlife species. Although there is no known link between the consumption of CWD affected meat and human health, hunters are advised to have animals from CWD affected areas tested and are advised against consuming meat from CWD infected animals (Government of Alberta 2010). We model hunter response to the knowledge that deer in a wildlife management unit have been found to have CWD in Alberta, Canada. We examine hunter site choice over two hunting seasons using revealed and stated preference data in models that incorporate preferences, choice set formation, and scale. We compare a fully endogenous choice set model using the independent availability logit model (Swait in Probabilistic choice set formation in transportation demand models. Dissertation, MIT, 1984) with the availability function approach (Cascetta and Papola in Transp Res C 9(4):249–263, 2001) that approximates choice set formation. We find that CWD incidence affects choice set formation and preferences and that ignoring choice set formation would result in biased estimates of impact and welfare measures. This study contributes to the broader recreation demand literature by incorporating choice set formation, scale and temporal impacts into a random utility model of recreation demand.     

Environmental diversity in recreational choice modelling

The accuracy of environmental valuation studies relies, to a great extent, on the suitability of the proxy measures used to capture individuals' preferences. While important advances have been achieved in the last years concerning the characterization of the physical background in which recreational choices are made, Travel Cost Method applications have failed to consider the heterogeneity of landscape and the spatial configuration of land use. This paper presents an empirical application to forest recreation in Mallorca (Spain), implementing a random parameter logit model to evaluate in terms of goodness-of-fit, model predictions and welfare measurements the effects of environmental diversity on the recreational site-choice process.     

Dynamic and stochastic structures in tourism demand modeling

In this paper we consider a model for international tourism demand. The point of departure of the analysis is a utility function that is both dynamic and stochastic. In the model the stochastic component is interpreted as random changes in preferences for goods and services, while the dynamic component can be seen as either habit formation or as interdependent preferences. The resulting demand functions are estimated as a multivariate state space model, where the stochastic components enter the model as stochastic seasonal and trend components. An application is constructed for different segments of the Swedish tourism market. The results indicate the importance of including both dynamic and stochastic components in the utility function, and the importance of using disaggregate data to enable investigation of each market segment.I am grateful to two anonymous referees for useful comments. Much of the research was done while I was a visiting scholar at University of California Berkeley. The hospitality of the RIPM division is gratefully acknowledged. The research was supported by grants from the Wallander Foundation.First version received: January 2003/Final version received: February 2004     

When are Forest Visits Valued the Most? An Analysis of the Seasonal Demand for Forest Recreation in Poland

While the demand for forest recreation has been a topic covered in many studies, little attention has been paid so far to seasonal demand. In a forest context, the seasonal analysis is particularly interesting because of inter-temporal change in forest attributes throughout the year which can influence trip-taking behavior. In this paper, the model of seasonal forest visitation is developed to provide a richer understanding of the role played by seasonal fluctuation on a distribution of forest social benefits. The analysis is based on an on-site survey conducted in four forests in Poland. Results show that the most valuable forest trips are those taken in fall and that seasonal trips are separable.     

Modelling under ambiguity with dynamically consistent Choquet random walks and Choquet–Brownian motions

Ambiguity is pervasive in many environments and is increasingly being introduced into economic and financial models. This paper characterises ambiguity in the form of newly defined Choquet random walks: discrete-time binomial trees with capacities instead of exact probabilities on their branches. We describe the axiomatic basis of Choquet random walks, including dynamic consistency. We also discuss the convergence of Choquet random walks to Choquet–Brownian motion in continuous time. In contrast to previous literature, we derive tractable stochastic processes that allow for a wide range of ambiguity preferences to be represented in continuous time (including ambiguity-seeking preferences). Finally, we apply Choquet–Brownian ambiguity to a model of stationary inter-temporal portfolio choice. We find that both the mean and the variance of the underlying stochastic process are modified. This result opens the way for qualitative and quantitative results that differ from those of standard expected utility models and other models that feature ambiguity.     

Augmenting travel cost models with contingent behavior data

This paper proposes contingent behavior survey questions as a valuable supplement to observed data in travel cost models of non-market demand for recreational resources. A set of observed and contingent behavior results for each survey respondent allows the researcher to control for individual heterogeneity by taking advantage of panel data methods when exploring the nature of respondent demands. The contingent scenarios also provide opportunities to (a) test for differences between observed and contingent preferences and/or (b) assess likely demands under conditionsbeyond the domain of observed variation in costs or resource attributes. Most importantly, contingent scenarios allow the researcher to imposeexogenously varying travel costs. Exogenous imposition of travel costs together with panel methods reduces the omitted variables bias that plagues observed-data travel cost models of recreational demand. Using a convenience sample of data for illustrative purposes, we show how to estimate the demand for recreational angling by combining observed and contingent behavior data. We begin with simple naive pooled Poisson models and progress to more theoretically appropriate fixed effects panel Poisson specifications.The authors are at the University of Nevada and UCLA, respectively. We gratefully acknowledge the comments of both Scott Shonkwiler and participants in the W133 meetings in Santa Fe, New Mexico and for research material provided by Wayne Gray. The data were provided by Rang Narayanan. Research assistance was provided by Jerry McGraw and Natalie Tucker. Research partially supported by the Nevada Experiment Station. Any errors or omissions remain the authors' responsibility.